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102820200132 = 223132321245943
BaseRepresentation
bin101111111000010001…
…1111011111011000100
3100211101201100100112110
41133300203323323010
53141033432401012
6115122425421020
710266660165216
oct1376043737304
9324351310473
10102820200132
113a673360211
1217b1633a770
139907b90210
144d958225b6
152a1bb1473c
hex17f08fbec4

102820200132 has 72 divisors (see below), whose sum is σ = 270090756544. Its totient is φ = 30261439296.

The previous prime is 102820200121. The next prime is 102820200149. The reversal of 102820200132 is 231002028201.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 102820200099 and 102820200108.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 540448 + ... + 705495.

Almost surely, 2102820200132 is an apocalyptic number.

102820200132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102820200132 is an abundant number, since it is smaller than the sum of its proper divisors (167270556412).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102820200132 is a wasteful number, since it uses less digits than its factorization.

102820200132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1246009 (or 1245984 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 102820200132 its reverse (231002028201), we get a palindrome (333822228333).

The spelling of 102820200132 in words is "one hundred two billion, eight hundred twenty million, two hundred thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 23 26 39 46 52 69 78 92 138 156 276 299 529 598 897 1058 1196 1587 1794 2116 3174 3588 6348 6877 13754 20631 27508 41262 82524 1245943 2491886 3737829 4983772 7475658 14951316 16197259 28656689 32394518 48591777 57313378 64789036 85970067 97183554 114626756 171940134 194367108 343880268 372536957 659103847 745073914 1117610871 1318207694 1490147828 1977311541 2235221742 2636415388 3954623082 4470443484 7909246164 8568350011 17136700022 25705050033 34273400044 51410100066 102820200132